Thermodynamics of an Ideal Electron Gas Localized in a Thin Spherical CdSe Nanolayer

Abstract— The thermodynamic characteristics of an electron gas localized in a thin spherical CdSe nanolayer have been studied. The dimensions of the CdTe/CdSe core-shell type quantum dot are considered large, which allows the gas to be considered ideal. Due to the small thickness, the particle spectrum has a subband character, when a family of levels of the spherical rotator is associated with each radial quantization level. Within the framework of Boltzmann statistics, the statistical sum for the gas under study was determined, as well as the mean energy, entropy, and heat capacity. The dependences of the thermodynamic characteristics of the electron gas on the geometric parameters of a CdTe/CdSe quantum dot have been studied.